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Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals

Author

Listed:
  • Rajab Ali Borzooei

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • Young Bae Jun

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran†Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

  • M. Mohseni Takallo

    (Department of Mathematics, Shahid Beheshti University, Tehran, Iran)

  • Sun Shin Ahn

    (Department of Mathematics Education, Dongguk University, Seoul 04620, Korea)

Abstract

Given a set X, conditions for the neutrosophic quadruple X-set to be a (positive implicative) neutrosophic quadruple BCK-algebra are considered. The notion of (positive implicative) neutrosophic quadruple ideal is introduced, and the extended neutrosophic quadruple BCK/BCI-algebra is established. Several properties are investigated.

Suggested Citation

  • Rajab Ali Borzooei & Young Bae Jun & M. Mohseni Takallo & Sun Shin Ahn, 2021. "Positive Implicative Neutrosophic Quadruple BCK-Algebras and Ideals," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 403-423, July.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:02:n:s1793005721500216
    DOI: 10.1142/S1793005721500216
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